Early in the movie, Doc Brown is getting ready to send the Delorean on it's maiden voyage. He put Einstein in as the test subject. He then proceedes to drive the car from a remote control. As seen later in the movie, the Delorian is a stick-shift, not an automatic. So, how did it go from 0 to 88 miles an hour in first gear???
I'm sure there is just no way that a scientist like Doc Brown who just invented a time machine and fitted it with a remote control could have altered the car to allow him to drive it successfully with the remote.